Stabilization of Coupled PDE-ODE System with Spatially Varying Coefficient
Stabilization is investigated for a class of coupled PDE-ODE systems with spatially varying coefficient. The systems under investigation are more general than those in the existing closely related literature since the coefficient of coupled term in the PDE sub-system is spatially varying. By infinite-dimensional backstepping method, the state-feedback stabilizing controller is explicitly constructed, which guarantees that the closed-loop system is exponentially stable in the sense of certain norm. It is worthwhile pointing out that, the method of successive approximation is adopted to derive the kernel functions of the backstepping transformation, since the presence of the spatially varying coefficient makes the kernel equation much more difficult to solve by the existing methods. A simulation example is presented to illustrate the effectiveness of the proposed method.
Stabilization Coupled systems Partial differential equation Infinite-dimensional backstepping transformation
LI Jian LIU Yungang YAN Xuehua
School of Control Science and Engineering, Shandong University, Jinan 250061, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
1263-1268
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）